Question

Solve the inequality n + 20 < -42, and write the solution in interval notation.

Answer 1

(-∞, -62)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients
• Interval Notation - [Brackets] denote inclusion, (Parenthesis) denote exclusion

Explanation:

Step 1: Define

n + 20 < -42

Step 2: Solve for n

1. [Subtraction Property of Equality] Subtract 20 on both sides: n < -62

∴ Any number n smaller than -62 would work as a solution to the inequality. Our solution set in interval notation would be (-∞, -62).